フーリエ・ラプラス変換<br>Fourier and Laplace Transforms

個数:

フーリエ・ラプラス変換
Fourier and Laplace Transforms

  • 提携先の海外書籍取次会社に在庫がございます。通常3週間で発送いたします。
    重要ご説明事項
    1. 納期遅延や、ご入手不能となる場合が若干ございます。
    2. 複数冊ご注文の場合、分割発送となる場合がございます。
    3. 美品のご指定は承りかねます。
  • 【入荷遅延について】
    世界情勢の影響により、海外からお取り寄せとなる洋書・洋古書の入荷が、表示している標準的な納期よりも遅延する場合がございます。
    おそれいりますが、あらかじめご了承くださいますようお願い申し上げます。
  • ◆画像の表紙や帯等は実物とは異なる場合があります。
  • ◆ウェブストアでの洋書販売価格は、弊社店舗等での販売価格とは異なります。
    また、洋書販売価格は、ご注文確定時点での日本円価格となります。
    ご注文確定後に、同じ洋書の販売価格が変動しても、それは反映されません。
  • 製本 Hardcover:ハードカバー版/ページ数 458 p.
  • 言語 ENG
  • 商品コード 9780521806893
  • DDC分類 515.723

基本説明

Textbook written for self-study, complete with illustrated definitions, theorems and concepts.

Full Description

This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science.

Contents

Preface; Introduction; 1. Signals and systems; 2. Mathematical prerequisites; 3. Fourier series: definition and properties; 4. The fundamental theorem of Fourier series; 5. Applications of Fourier series; 6. Fourier integrals: definition and properties; 7. The fundamental theorem of the Fourier integral; 8. Distributions; 9. The Fourier transform of distributions; 10. Applications of the Fourier integral; 11. Complex functions; 12. The Laplace transform: definition and properties; 13. Further properties, distributions, and the fundamental theorem; 14. Applications of the Laplace transform; 15. Sampling of continuous-time signals; 16. The discrete Fourier transform; 17. The fast Fourier transform; 18. The z-transform; 19. Applications of discrete transforms.